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17 is related to 237 following a certain logic. Following the same logic, 9 is related to 125. To which of the following is 12 related following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 тАУ Operations on 13 such as adding / subtracting /multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
166
132
167
179
167
Test the pattern x multiplied by (x + factor) or x squared related operations; here the relation is (x * 14) + (some constant) or specifically (x * 13) + (x + something).
Test the pattern x multiplied by (x + factor) or x squared related operations; here the relation is (x * 14) + (some constant) or specifically (x * 13) + (x + something).
Analyze the first pair (17 to 237)
Calculate 17 * 14 = 238. Then, 238 - 1 = 237. The pattern is (x * (x - 3)) + something? No, let us check (x * 13) + (x + 7) = 17*13 + 24 = 221 + 16 = 237. Alternatively: 17 * 14 - 1 = 237.
Validate the pattern with the second pair (9 to 125)
Using the same logic: 9 * 14 - 1 = 126 - 1 = 125. The pattern (x * 14) - 1 holds true for both given pairs.
Apply the pattern to the number 12
Using the identified logic (x * 14) - 1: 12 * 14 - 1 = 168 - 1 = 167.
A: 166 is incorrect as it results from 12 * 14 - 2; B: 132 is incorrect as it is just 11 * 12; D: 179 is incorrect as it exceeds the calculated result of 167.
C is correct because the logic follows the formula (x * 14) - 1, which for 12 yields 168 - 1 = 167.
Always check for simple multiplication-based patterns (n * k ┬▒ c) before attempting complex square or cube additions.
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